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Finding the Fourth Proportional to 16,264.38, 24,400 and 5,733.96

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Solution

The fourth proportional to 16,264.38, 24,400 and 5,733.96 is: 8,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.38 : 24,400 = 5,733.96 : x
  2. Step 2: Convert to fraction form
    16,264.38/24,400 = 5,733.96/x
  3. Step 3: Cross multiply
    16,264.38x = 24,400 × 5,733.96
  4. Step 4: Simplify right side
    16,264.38x = 139,908,624
  5. Step 5: Solve for x
    x = 139,908,624/16,264.38
  6. Step 6: Final answer
    x = 8,602.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.